How to cheat in math

In addition, there are also many books that can help you How to cheat in math. For example, in the process of discussing architecture in ancient Greece, it was found that the best ratio of the length and width of a rectangle, that is, the golden ratio, is still applied today; Archimedes proved that when the perimeter was determined, the area contained in the circle was the largest. This discovery affected the architectural style of ancient European castles, so they almost all adopted circular architecture; In calculus in the 17th century, it was proposed to solve the extreme value problem of functions. Euler tried to express the following belief in mathematical language: everything has relative advantages. The purpose of research is to find such advantages and disadvantages. In many cases, people do not need to compare absolute advantages, but comparative advantages are enough, such as the college entrance examination and the scoring system of grade four and six.

How to calculate the sum of squares on the left or right side of the equation? They are the sum of the squares of the consecutive natural numbers after the first several items are incompletely removed. The sum of the squares of the previous several items is subtracted from the sum of the squares of the n items, and the rest is the sum of the squares of the required consecutive natural numbers Since their left and right sides are equal, they can be calculated with several squares on the right side, and they don't need a calculator or a draft paper at all. It's OK to write steps while doing mental calculations. Of course, this is a case where the number of calculation items is relatively small.

By connecting the vertex and the center of the triangular pyramid, we can get that the height of the triangular pyramid is perpendicular to the bottom. At this time, the center of the circumscribed ball is on the high line, so the radius of the circumscribed ball of the right triangle can be solved according to the Pythagorean theorem. The key of this model is to determine the center of the ball by using the extraterrestrial of the regular triangle on the bottom, and then construct a triangle to convert the three-dimensional figure into a planar figure, and find the radius of the ball in the right triangle. Finally, it's time to discuss triangle filling.

After learning that his daughter was born, the father directly put on an ultrasound photo of Altman and said that he would stay with his wife for a month. It's really great to see this picture of Altman, but I don't know if the child will see this picture in the future. How can the father explain it?.

This book was translated into Latin and introduced into Europe several hundred years later, which had a profound impact on the development of European mathematics. It was a university textbook until the 17th century. So people call him the father of algebra. Reason: mathematical logic originates from the pursuit of solid foundation and rigor in the mathematical cause, but it also has important applications in non basic problems.